7w(2w+2)+w(9w+8)=

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Solution for 7w(2w+2)+w(9w+8)= equation: 


Simplifying
7w(2w + 2) + w(9w + 8) = 0

Reorder the terms:
7w(2 + 2w) + w(9w + 8) = 0
(2 * 7w + 2w * 7w) + w(9w + 8) = 0
(14w + 14w2) + w(9w + 8) = 0

Reorder the terms:
14w + 14w2 + w(8 + 9w) = 0
14w + 14w2 + (8 * w + 9w * w) = 0
14w + 14w2 + (8w + 9w2) = 0

Reorder the terms:
14w + 8w + 14w2 + 9w2 = 0

Combine like terms: 14w + 8w = 22w
22w + 14w2 + 9w2 = 0

Combine like terms: 14w2 + 9w2 = 23w2
22w + 23w2 = 0

Solving
22w + 23w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(22 + 23w) = 0


Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

Move all terms containing w to the left, all other terms to the right.

Simplifying
w = 0

Subproblem 2
Set the factor '(22 + 23w)' equal to zero and attempt to solve:

Simplifying
22 + 23w = 0

Solving
22 + 23w = 0

Move all terms containing w to the left, all other terms to the right.

Add '-22' to each side of the equation.
22 + -22 + 23w = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 23w = 0 + -22
23w = 0 + -22

Combine like terms: 0 + -22 = -22
23w = -22

Divide each side by '23'.
w = -0.9565217391

Simplifying
w = -0.9565217391
Solution
w = {0, -0.9565217391}

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